Summary: ERRATUM FOR COMMUTING ELEMENTS AND SPACES OF
HOMOMORPHISMS
A. ADEM
AND F. R. COHEN
Abstract. We correct some cohomology calculations appearing in [1].
In the preprint [2], M. Crabb has pointed out that two of the cohomology calculations
in [1], namely Theorem 1.4 and Theorem 4.12 are not consistent with the results in his
paper. Here we outline how to correct the results in our paper.
Consider the Mayer-Vietoris spectral sequence in integral cohomology associated to the
covering X[3] = X1,2 X1,3 X2,3 where X[3] denotes the non­commuting triples in SU(2)
and the Xi,j correspond to the non­commutativity of the i­th and j­th coordinates. It
will have as its E1 term
Ep,q
1
=



Hq
(X1,2, Z) Hq

Source: Adem, Alejandro - Department of Mathematics, University of British Columbia

Collections: Mathematics